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Minimizers and blowup in relativistic Hartree-Fock-Bogoliubov theory

Date: 
Thursday 2nd August 2012 - 14:45 to 15:30
Venue: 
INI Seminar Room 1
Abstract: 
In this talk, we will discuss both time-independent and time-dependent models of Hartree-Fock-Bogoliubov (HFB) type that arise in the description of relativistic self-gravitating fermionic systems. In particular, we will examine the variational calculus attached to this problem, as well as results on the singularity formation for the corresponding dynamical equations of HFB type. Time permitting, we will also discuss some open problems too.

This is joint work with M. Lewin, C. Hainzl, and B. Schlein.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons